Evans, David Emrys and Kawahigashi, Yasuyuki 1994. Orbifold subfactors from Hecke algebras. Communications in Mathematical Physics 165 (3) , pp. 445-484. 10.1007/BF02099420 |
Official URL: https://doi.org/10.1007/BF02099420
Abstract
We apply the notion of orbifold models ofSU(N) solvable lattice models to the Hecke algebra subfactors of Wenzl and get a new series of subfactors. In order to distinguish our subfactors from those of Wenzl, we compute the principal graphs for both series of subfactors. An obstruction for flatness of connections arises in this orbifold procedure in the caseN=2 and this eliminates the possibility of the Dynkin diagramsD 2n+1 , but we show that no such obstructions arise in the caseN=3. Our tools are the paragroups of Ocneanu and solutions of Jimbo-Miwa-Okado to the Yang-Baxter equation.
Item Type: | Article |
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Date Type: | Publication |
Status: | Published |
Schools: | Mathematics |
Subjects: | Q Science > QA Mathematics |
Additional Information: | Open Access version available from Project Euclid: http://projecteuclid.org/euclid.cmp/1104271410 |
Publisher: | Springer |
ISSN: | 0010-3616 |
Related URLs: | |
Date of First Compliant Deposit: | 18 January 2017 |
Last Modified: | 04 Feb 2025 12:11 |
URI: | https://orca.cardiff.ac.uk/id/eprint/33307 |
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